Bruce Berndt

Affiliation: University of Illinois

Email: berndt@math.uiuc.edu

Title Of Talk: Integrals Associated with Ramanujan and Elliptic Functions

Abstract: We evaluate in closed form certain classes of infinite integrals containing trigonometric and hyperbolic trigonometric functions in their integrands. Although not apparent, the integrals are related to Jacobian elliptic functions, in particular, to theorems found in Ramanujan's notebooks. One of our evaluations answers a question first posed by M. E. H. Ismail.


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